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1110022221121 = 111013517284083
BaseRepresentation
bin10000001001110010011…
…110101110110101000001
310221010011100122100111121
4100021302132232311001
5121141311142033441
62205534232312241
7143124246126052
oct20116236566501
93833140570447
101110022221121
11398837673070
1215b168242681
13808a0275b28
143ba22572729
151dd1a79cdd1
hex102727aed41

1110022221121 has 16 divisors (see below), whose sum is σ = 1223274794688. Its totient is φ = 998832312000.

The previous prime is 1110022221103. The next prime is 1110022221167. The reversal of 1110022221121 is 1211222200111.

It is a cyclic number.

It is not a de Polignac number, because 1110022221121 - 221 = 1110020123969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1110022221095 and 1110022221104.

It is not an unprimeable number, because it can be changed into a prime (1110022221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3765346 + ... + 4049428.

It is an arithmetic number, because the mean of its divisors is an integer number (76454674668).

Almost surely, 21110022221121 is an apocalyptic number.

1110022221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110022221121 is a deficient number, since it is larger than the sum of its proper divisors (113252573567).

1110022221121 is a wasteful number, since it uses less digits than its factorization.

1110022221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287712.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1110022221121 its reverse (1211222200111), we get a palindrome (2321244421232).

The spelling of 1110022221121 in words is "one trillion, one hundred ten billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 101 1111 3517 38687 284083 355217 3124913 3907387 28692383 315616213 999119911 10990319021 100911111011 1110022221121